On the Klein–Gordon oscillator subject to a Coulomb-type potential
By introducing the scalar potential as modification in the mass term of the Klein–Gordon equation, the influence of a Coulomb-type potential on the Klein–Gordon oscillator is investigated. Relativistic bound states solutions are achieved to both attractive and repulsive Coulomb-type potentials and t...
Saved in:
| Published in | Annals of physics Vol. 355; pp. 48 - 54 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Elsevier Inc
01.04.2015
Elsevier BV |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0003-4916 1096-035X |
| DOI | 10.1016/j.aop.2015.01.028 |
Cover
| Abstract | By introducing the scalar potential as modification in the mass term of the Klein–Gordon equation, the influence of a Coulomb-type potential on the Klein–Gordon oscillator is investigated. Relativistic bound states solutions are achieved to both attractive and repulsive Coulomb-type potentials and the arising of a quantum effect characterized by the dependence of angular frequency of the Klein–Gordon oscillator on the quantum numbers of the system is shown.
•Interaction between the Klein–Gordon oscillator and a modified mass term.•Relativistic bound states for both attractive and repulsive Coulomb-type potentials.•Dependence of the Klein–Gordon oscillator frequency on the quantum numbers.•Relativistic analogue of a position-dependent mass system. |
|---|---|
| AbstractList | By introducing the scalar potential as modification in the mass term of the Klein-Gordon equation, the influence of a Coulomb-type potential on the Klein-Gordon oscillator is investigated. Relativistic bound states solutions are achieved to both attractive and repulsive Coulomb-type potentials and the arising of a quantum effect characterized by the dependence of angular frequency of the Klein-Gordon oscillator on the quantum numbers of the system is shown. * Interaction between the Klein-Gordon oscillator and a modified mass term. * Relativistic bound states for both attractive and repulsive Coulomb-type potentials. * Dependence of the Klein-Gordon oscillator frequency on the quantum numbers. * Relativistic analogue of a position-dependent mass system. By introducing the scalar potential as modification in the mass term of the Klein–Gordon equation, the influence of a Coulomb-type potential on the Klein–Gordon oscillator is investigated. Relativistic bound states solutions are achieved to both attractive and repulsive Coulomb-type potentials and the arising of a quantum effect characterized by the dependence of angular frequency of the Klein–Gordon oscillator on the quantum numbers of the system is shown. - Highlights: • Interaction between the Klein–Gordon oscillator and a modified mass term. • Relativistic bound states for both attractive and repulsive Coulomb-type potentials. • Dependence of the Klein–Gordon oscillator frequency on the quantum numbers. • Relativistic analogue of a position-dependent mass system. By introducing the scalar potential as modification in the mass term of the Klein–Gordon equation, the influence of a Coulomb-type potential on the Klein–Gordon oscillator is investigated. Relativistic bound states solutions are achieved to both attractive and repulsive Coulomb-type potentials and the arising of a quantum effect characterized by the dependence of angular frequency of the Klein–Gordon oscillator on the quantum numbers of the system is shown. •Interaction between the Klein–Gordon oscillator and a modified mass term.•Relativistic bound states for both attractive and repulsive Coulomb-type potentials.•Dependence of the Klein–Gordon oscillator frequency on the quantum numbers.•Relativistic analogue of a position-dependent mass system. |
| Author | Bakke, K. Furtado, C. |
| Author_xml | – sequence: 1 givenname: K. surname: Bakke fullname: Bakke, K. email: kbakke@fisica.ufpb.br – sequence: 2 givenname: C. surname: Furtado fullname: Furtado, C. email: furtado@fisica.ufpb.br |
| BackLink | https://www.osti.gov/biblio/22451145$$D View this record in Osti.gov |
| BookMark | eNp9kMtKxDAYhYOM4Hh5AHcF1625NOkUVzLqKAqzUXAX0jRlUjr5a5IR3PkOvqFPYoYRBBezyr843-HLOUYTB84gdE5wQTARl32hYCwoJrzApMB0doCmBNcix4y_TtAUY8zysibiCB2H0GNMSMlnU3SzdFlcmexxMNZ9f34twLfgMgjaDoOK4LOwaXqjYxYhU9kcNgOsmzx-jCYbIRoXrRpO0WGnhmDOft8T9HJ3-zy_z5-Wi4f59VOuGWcxV13TmUZhoVraMVqVTNedaEjZNpyLWcnTRdqK1oQpXbPWVJ1QTLNSCMFrrtgJutj1QohWJsVo9EqDc8lPUpoK0qf-UqOHt40JUfaw8S6JSSJEVdOSViylql1KewjBm06mOhUtuOiVHSTBcjus7GUaVm6HlZjINGwiyT9y9Hat_Mde5mrHmDTPuzV-a2-cNq31W_kW7B76ByNqkoI |
| CODEN | APNYA6 |
| CitedBy_id | crossref_primary_10_1155_2020_7943436 crossref_primary_10_1140_epjp_s13360_021_01786_1 crossref_primary_10_1140_epjc_s10052_020_7781_5 crossref_primary_10_1155_2019_2729352 crossref_primary_10_1142_S0217751X23500483 crossref_primary_10_1088_1402_4896_abb252 crossref_primary_10_1209_0295_5075_131_30002 crossref_primary_10_1007_s13538_020_00785_4 crossref_primary_10_1155_2019_1248393 crossref_primary_10_1139_cjp_2023_0146 crossref_primary_10_1007_s10773_024_05696_7 crossref_primary_10_1155_2019_6740360 crossref_primary_10_1007_s10714_020_02676_0 crossref_primary_10_1016_j_aop_2017_01_010 crossref_primary_10_1007_s12043_016_1347_y crossref_primary_10_1140_epjc_s10052_018_5847_4 crossref_primary_10_1063_5_0190849 crossref_primary_10_1140_epjc_s10052_019_6621_y crossref_primary_10_3390_axioms14030227 crossref_primary_10_1142_S0217751X21501281 crossref_primary_10_1140_epjc_s10052_020_7914_x crossref_primary_10_1142_S0219887824500932 crossref_primary_10_1142_S021773232050220X crossref_primary_10_1155_2020_5691025 crossref_primary_10_1098_rspa_2015_0362 crossref_primary_10_1140_epjc_s10052_023_11403_3 crossref_primary_10_1016_j_aop_2016_03_016 crossref_primary_10_1016_j_aop_2020_168276 crossref_primary_10_1142_S0217732321501716 crossref_primary_10_1016_j_nuclphysb_2024_116629 crossref_primary_10_16984_saufenbilder_938739 crossref_primary_10_1063_1_4945627 crossref_primary_10_1140_epjp_s13360_019_00062_7 crossref_primary_10_1007_s12648_024_03340_y crossref_primary_10_1134_S0040577924120134 crossref_primary_10_1140_epjp_s13360_021_02251_9 crossref_primary_10_1142_S0217732322750013 crossref_primary_10_1016_j_aop_2023_169550 crossref_primary_10_1063_5_0018221 crossref_primary_10_1016_j_aop_2018_12_005 crossref_primary_10_1142_S0217751X24501215 crossref_primary_10_1142_S0219887823501025 crossref_primary_10_1007_s12648_022_02438_5 crossref_primary_10_1142_S0218271824500585 crossref_primary_10_1140_epjp_s13360_020_00610_6 crossref_primary_10_1209_0295_5075_acd57d crossref_primary_10_1007_s00601_016_1122_0 crossref_primary_10_1088_1361_6382_ac51bb crossref_primary_10_1140_epjp_i2016_16036_4 crossref_primary_10_4213_tmf10434 crossref_primary_10_1140_epjc_s10052_019_7029_4 crossref_primary_10_1140_epjp_i2015_15140_3 crossref_primary_10_1142_S0217732321500048 crossref_primary_10_1140_epjp_s13360_024_05745_4 crossref_primary_10_1140_epjc_s10052_018_6082_8 crossref_primary_10_1140_epjc_s10052_018_6479_4 crossref_primary_10_1142_S0217751X20502000 crossref_primary_10_1088_1742_6596_2780_1_012027 crossref_primary_10_1088_1361_6471_ad3331 crossref_primary_10_1142_S0217732321500164 crossref_primary_10_1134_S0040577923070115 crossref_primary_10_1088_0954_3899_42_9_095001 crossref_primary_10_1139_cjp_2016_0800 crossref_primary_10_1007_s10714_019_2616_0 crossref_primary_10_1007_s10773_023_05479_6 crossref_primary_10_1155_2020_4513698 crossref_primary_10_1140_epjp_s13360_020_00779_w crossref_primary_10_1016_j_aop_2021_168645 crossref_primary_10_1140_epjc_s10052_024_12781_y crossref_primary_10_1142_S0217751X22500993 crossref_primary_10_1016_j_aop_2019_02_012 crossref_primary_10_1134_S1547477119030038 crossref_primary_10_1139_cjp_2020_0565 crossref_primary_10_1140_epjp_s13360_020_00199_w crossref_primary_10_1088_1402_4896_ab3bc1 crossref_primary_10_1142_S0217732321501406 crossref_primary_10_1142_S0219887823500111 crossref_primary_10_1155_2020_8107025 crossref_primary_10_1142_S0217751X21501360 crossref_primary_10_1140_epjp_s13360_022_03248_8 crossref_primary_10_1140_epjb_e2017_80468_9 crossref_primary_10_1140_epjp_s13360_021_01965_0 crossref_primary_10_1007_s11082_023_04919_1 crossref_primary_10_1134_S0202289321030026 crossref_primary_10_1142_S0217732318502024 crossref_primary_10_1002_andp_201500314 crossref_primary_10_1007_s10714_019_2593_3 crossref_primary_10_1142_S0217751X23501786 crossref_primary_10_1016_j_aop_2019_167941 crossref_primary_10_1134_S1063776122110140 crossref_primary_10_1140_epjc_s10052_019_7359_2 crossref_primary_10_1140_epjc_s10052_017_5476_3 crossref_primary_10_1142_S0217751X20501018 crossref_primary_10_1007_s10714_019_2552_z crossref_primary_10_1016_j_nuclphysb_2023_116288 crossref_primary_10_1140_epjp_i2018_12310_9 crossref_primary_10_1142_S0217732321500668 crossref_primary_10_1016_j_aop_2020_168113 crossref_primary_10_1142_S0217751X21501293 crossref_primary_10_1038_s41598_022_12745_w crossref_primary_10_1142_S0219887821501875 crossref_primary_10_1142_S0217751X20500712 crossref_primary_10_1140_epja_s10050_021_00514_8 crossref_primary_10_1140_epjc_s10052_016_4189_3 crossref_primary_10_1016_j_aop_2015_12_001 crossref_primary_10_1007_s10909_020_02550_y crossref_primary_10_1142_S0219887820501388 crossref_primary_10_1088_1572_9494_ab8a15 crossref_primary_10_1142_S0217751X2150144X crossref_primary_10_1088_1402_4896_abe6c1 crossref_primary_10_1209_0295_5075_ac817b crossref_primary_10_4213_tmf10755 crossref_primary_10_1140_epjp_s13360_020_00476_8 crossref_primary_10_1155_2018_1031763 crossref_primary_10_1098_rspa_2015_0858 crossref_primary_10_1142_S0217732320502831 crossref_primary_10_1140_epjp_s13360_020_00721_0 crossref_primary_10_1209_0295_5075_132_20009 crossref_primary_10_1140_epjc_s10052_020_7774_4 crossref_primary_10_1140_epjp_i2017_11305_4 crossref_primary_10_1140_epjp_i2019_12732_9 crossref_primary_10_1142_S021988782250133X crossref_primary_10_1016_j_physb_2016_05_026 crossref_primary_10_1142_S0217751X21500536 crossref_primary_10_1155_2015_925846 crossref_primary_10_1142_S0217751X20501079 crossref_primary_10_1088_1674_1056_ab888e crossref_primary_10_1007_s10714_016_2156_9 crossref_primary_10_1088_1572_9494_aca650 crossref_primary_10_1016_j_nuclphysb_2025_116827 |
| Cites_doi | 10.1016/j.physleta.2012.09.006 10.1088/0253-6102/42/5/664 10.1088/0031-8949/85/05/055008 10.1103/PhysRevA.49.586 10.1016/0375-9601(94)90432-4 10.1088/0031-8949/84/03/037001 10.1016/0370-2693(91)90978-Y 10.1016/0370-2693(92)90729-N 10.1103/PhysRevD.59.064017 10.1016/0370-1573(79)90095-4 10.1142/S0217984991000642 10.1007/s10773-010-0512-1 10.1142/S0129183109014606 10.1088/0305-4470/32/28/314 10.1209/epl/i1997-00520-y 10.1016/0003-4916(80)90358-9 10.1103/PhysRevA.84.032109 10.1023/A:1004119928867 10.1063/1.2227258 10.1142/S0217751X12500479 10.1016/j.physleta.2005.02.027 10.1016/j.aop.2013.06.007 10.1016/j.aop.2013.11.013 10.1103/PhysRevA.76.041801 10.1103/PhysRevD.89.027702 10.1103/PhysRevA.77.063815 10.1088/0305-4470/22/17/002 10.1007/s10773-011-0811-1 10.1088/1009-1963/12/10/302 10.1515/zna-1973-0902 10.1103/PhysRevA.66.042116 10.1140/epjp/i2012-12102-3 10.1016/j.aop.2013.03.009 10.1007/s10714-013-1561-6 10.1103/PhysRevA.77.033832 10.1103/PhysRevD.59.107504 10.1016/j.physleta.2005.09.008 10.1088/0031-8949/77/01/015003 10.1142/S0217732310033529 10.1088/0031-8949/81/04/045001 10.1103/PhysRevA.59.107 10.1007/BF02787240 10.1088/0253-6102/55/3/06 10.1103/PhysRevLett.99.123602 10.1016/j.physleta.2005.12.048 10.1016/0375-9601(89)90555-0 10.1088/0264-9381/23/17/009 10.1016/j.physleta.2007.04.109 10.1023/A:1003614810934 10.1007/BF02721775 10.1140/epjc/s10052-012-2051-9 10.1016/j.physleta.2004.01.006 |
| ContentType | Journal Article |
| Copyright | 2015 Elsevier Inc. |
| Copyright_xml | – notice: 2015 Elsevier Inc. |
| DBID | AAYXX CITATION 7U5 8FD L7M OTOTI |
| DOI | 10.1016/j.aop.2015.01.028 |
| DatabaseName | CrossRef Solid State and Superconductivity Abstracts Technology Research Database Advanced Technologies Database with Aerospace OSTI.GOV |
| DatabaseTitle | CrossRef Technology Research Database Advanced Technologies Database with Aerospace Solid State and Superconductivity Abstracts |
| DatabaseTitleList | Technology Research Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISSN | 1096-035X |
| EndPage | 54 |
| ExternalDocumentID | 22451145 3641362341 10_1016_j_aop_2015_01_028 S0003491615000317 |
| Genre | Feature |
| GroupedDBID | --K --M -DZ -~X .~1 0R~ 1B1 1RT 1~. 1~5 23M 4.4 457 4G. 53G 5GY 5VS 6J9 6TJ 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO ABFNM ABFRF ABJNI ABMAC ABNEU ABPPZ ABXDB ABYKQ ACDAQ ACFVG ACGFO ACGFS ACNCT ACNNM ACRLP ADBBV ADEZE ADFGL ADMUD AEBSH AEFWE AEKER AENEX AFDAS AFFNX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AI. AIEXJ AIKHN AITUG AIVDX AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ASPBG AVWKF AXJTR AZFZN BBWZM BKOJK BLXMC CAG COF CS3 DM4 EBS EFBJH EFLBG EJD EO8 EO9 EP2 EP3 FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HME HMV HVGLF HZ~ IHE J1W K-O KOM LG5 LZ4 M37 M41 MO0 MVM N9A NDZJH O-L O9- OAUVE OGIMB OHT OZT P-8 P-9 P2P PC. PQQKQ Q38 R2- RIG RNS ROL RPZ SDF SDG SDP SES SEW SHN SPC SPCBC SPD SPG SSQ SSZ T5K TN5 TWZ UNMZH UPT UQL VH1 VQA WH7 WUQ XOL XPP XSW YYP ZCG ZMT ~G- AATTM AAXKI AAYWO AAYXX ABWVN ACRPL ACVFH ADCNI ADNMO ADXHL AEIPS AEUPX AFJKZ AFPUW AFXIZ AGCQF AGQPQ AGRNS AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP BNPGV CITATION SSH 7U5 8FD EFKBS L7M AALMO ABPIF ABPTK ABQIS EFJIC OTOTI PQEST |
| ID | FETCH-LOGICAL-c353t-afbfeba06ad2f32743c9f6b14db55684514d1d72913ac93de7f6a3c34666595a3 |
| IEDL.DBID | AIKHN |
| ISSN | 0003-4916 |
| IngestDate | Fri May 19 01:41:28 EDT 2023 Sat Jul 26 00:54:02 EDT 2025 Thu Apr 24 23:10:44 EDT 2025 Tue Jul 01 00:57:52 EDT 2025 Fri Feb 23 02:24:00 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Klein–Gordon oscillator Biconfluent Heun equation Coulomb-type potential Relativistic bound states |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c353t-afbfeba06ad2f32743c9f6b14db55684514d1d72913ac93de7f6a3c34666595a3 |
| Notes | SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 |
| PQID | 1667924273 |
| PQPubID | 43554 |
| PageCount | 7 |
| ParticipantIDs | osti_scitechconnect_22451145 proquest_journals_1667924273 crossref_citationtrail_10_1016_j_aop_2015_01_028 crossref_primary_10_1016_j_aop_2015_01_028 elsevier_sciencedirect_doi_10_1016_j_aop_2015_01_028 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2015-04-01 |
| PublicationDateYYYYMMDD | 2015-04-01 |
| PublicationDate_xml | – month: 04 year: 2015 text: 2015-04-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | New York |
| PublicationPlace_xml | – name: New York – name: United States |
| PublicationTitle | Annals of physics |
| PublicationYear | 2015 |
| Publisher | Elsevier Inc Elsevier BV |
| Publisher_xml | – name: Elsevier Inc – name: Elsevier BV |
| References | Itô, Mori, Carrieri (br000015) 1967; 51 Arfken, Weber (br000255) 2005 Dong (br000115) 2001; 40 Mirza, Narimani, Zare, Mirza, Mohadesi (br000080) 2011; 55 Xiao, Long, Cai (br000090) 2011; 50 Bakke (br000025) 2013; 45 Alhaidari (br000145) 2004; 322 Wen-Chao (br000185) 2003; 12 Dvoeglazov (br000065) 1994; 107 Kumar, Chand (br000105) 2012; 85 Mota, Bakke (br000280) 2014; 89 Villalba (br000010) 1994; 49 Ikhdair (br000120) 2009; 20 Alhaidari, Bahlouli, Al-Hasan (br000170) 2006; 349 Bermudez, Martin-Delgado, Solano (br000040) 2007; 76 Khusnutdinov, Bordag (br000275) 1999; 59 Quigg, Rosner (br000125) 1979; 56 de Castro (br000165) 2005; 338 Dosch, Jansen, Müller (br000210) 1971; 5 Alhaidari (br000140) 2002; 66 Bahar, Yasuk (br000100) 2013 Bermudez, Martin-Delgado, Solano (br000055) 2007; 99 Domingues-Adame (br000175) 1989; 136 Bermudez, Martin-Delgado, Luis (br000050) 2008; 77 Grundberg, Hansson, Karlhede, Leinaas (br000235) 1991; 5 de Souza Dutra, Jia (br000155) 2006; 352 Furtado, da Cunha, Moraes, Bezerra de Mello, Bezerra (br000260) 1994; 195 Bermudez, Martin-Delgado, Luis (br000045) 2008; 77 (br000240) 1995 Figueiredo Medeiros, Bezerra de Mello (br000220) 2012; 72 Furtado, Moraes, Bezerra (br000285) 1999; 59 Xu, He, Jia (br000180) 2010; 81 Bakke, Furtado (br000030) 2013; 336 Soff, Müller, Rafelski, Greiner (br000215) 1973; 28 Bakke, Belich (br000265) 2012; 127 Boumali, Hafdallah, Toumi (br000070) 2011; 84 Bakke (br000250) 2014; 341 Bruce, Minning (br000060) 1993; 106 Yasuk, Durmus, Boztosun (br000195) 2006; 47 Cavalcanti de Oliveira, Bezerra de Mello (br000200) 2006; 23 Verćin (br000230) 1991; 260 Carvalho, Furtado, Moraes (br000035) 2011; 84 Moshinsky, Szczepaniak (br000005) 1989; 22 Cheng (br000095) 2011; 50 Motavalli, Akbarieh (br000190) 2010; 25 Bakke, Belich (br000270) 2013; 333 Myrhein, Halvorsen, Verćin (br000225) 1992; 278 Dong (br000110) 2000; 39 Rao, Kagali (br000075) 2008; 77 Rozmej, Arvieu (br000020) 1999; 32 Chaichian, Kögerler (br000130) 1980; 124 Liang, Yang (br000085) 2012; 27 Serra, Lipparini (br000150) 1997; 40 Bakke, Moraes (br000245) 2012; 376 Qiang, Zhou, Gao (br000160) 2007; 371 Greiner (br000205) 2000 Dekar, Chetouani, Hammann (br000135) 1999; 59 Quigg (10.1016/j.aop.2015.01.028_br000125) 1979; 56 Greiner (10.1016/j.aop.2015.01.028_br000205) 2000 Serra (10.1016/j.aop.2015.01.028_br000150) 1997; 40 Myrhein (10.1016/j.aop.2015.01.028_br000225) 1992; 278 Dong (10.1016/j.aop.2015.01.028_br000110) 2000; 39 Bahar (10.1016/j.aop.2015.01.028_br000100) 2013 Rozmej (10.1016/j.aop.2015.01.028_br000020) 1999; 32 Xiao (10.1016/j.aop.2015.01.028_br000090) 2011; 50 Mota (10.1016/j.aop.2015.01.028_br000280) 2014; 89 Alhaidari (10.1016/j.aop.2015.01.028_br000140) 2002; 66 Soff (10.1016/j.aop.2015.01.028_br000215) 1973; 28 Bermudez (10.1016/j.aop.2015.01.028_br000040) 2007; 76 Arfken (10.1016/j.aop.2015.01.028_br000255) 2005 Bakke (10.1016/j.aop.2015.01.028_br000025) 2013; 45 Xu (10.1016/j.aop.2015.01.028_br000180) 2010; 81 Liang (10.1016/j.aop.2015.01.028_br000085) 2012; 27 Verćin (10.1016/j.aop.2015.01.028_br000230) 1991; 260 Yasuk (10.1016/j.aop.2015.01.028_br000195) 2006; 47 Bakke (10.1016/j.aop.2015.01.028_br000265) 2012; 127 Itô (10.1016/j.aop.2015.01.028_br000015) 1967; 51 Bruce (10.1016/j.aop.2015.01.028_br000060) 1993; 106 Dekar (10.1016/j.aop.2015.01.028_br000135) 1999; 59 Qiang (10.1016/j.aop.2015.01.028_br000160) 2007; 371 Domingues-Adame (10.1016/j.aop.2015.01.028_br000175) 1989; 136 Carvalho (10.1016/j.aop.2015.01.028_br000035) 2011; 84 Mirza (10.1016/j.aop.2015.01.028_sbref16a) 2011; 55 (10.1016/j.aop.2015.01.028_br000240) 1995 Mirza (10.1016/j.aop.2015.01.028_sbref16b) 2004; 42 Bakke (10.1016/j.aop.2015.01.028_br000250) 2014; 341 Bakke (10.1016/j.aop.2015.01.028_br000030) 2013; 336 Cavalcanti de Oliveira (10.1016/j.aop.2015.01.028_br000200) 2006; 23 Cheng (10.1016/j.aop.2015.01.028_br000095) 2011; 50 Figueiredo Medeiros (10.1016/j.aop.2015.01.028_br000220) 2012; 72 Bermudez (10.1016/j.aop.2015.01.028_br000045) 2008; 77 Bakke (10.1016/j.aop.2015.01.028_br000245) 2012; 376 Dvoeglazov (10.1016/j.aop.2015.01.028_br000065) 1994; 107 de Castro (10.1016/j.aop.2015.01.028_br000165) 2005; 338 Motavalli (10.1016/j.aop.2015.01.028_br000190) 2010; 25 Alhaidari (10.1016/j.aop.2015.01.028_br000170) 2006; 349 Wen-Chao (10.1016/j.aop.2015.01.028_br000185) 2003; 12 Bakke (10.1016/j.aop.2015.01.028_br000270) 2013; 333 Furtado (10.1016/j.aop.2015.01.028_br000285) 1999; 59 Chaichian (10.1016/j.aop.2015.01.028_br000130) 1980; 124 Moshinsky (10.1016/j.aop.2015.01.028_br000005) 1989; 22 Furtado (10.1016/j.aop.2015.01.028_br000260) 1994; 195 Kumar (10.1016/j.aop.2015.01.028_br000105) 2012; 85 Rao (10.1016/j.aop.2015.01.028_br000075) 2008; 77 Alhaidari (10.1016/j.aop.2015.01.028_br000145) 2004; 322 Dosch (10.1016/j.aop.2015.01.028_br000210) 1971; 5 Villalba (10.1016/j.aop.2015.01.028_br000010) 1994; 49 Boumali (10.1016/j.aop.2015.01.028_br000070) 2011; 84 Ikhdair (10.1016/j.aop.2015.01.028_br000120) 2009; 20 Bermudez (10.1016/j.aop.2015.01.028_br000055) 2007; 99 de Souza Dutra (10.1016/j.aop.2015.01.028_br000155) 2006; 352 Bermudez (10.1016/j.aop.2015.01.028_br000050) 2008; 77 Grundberg (10.1016/j.aop.2015.01.028_br000235) 1991; 5 Dong (10.1016/j.aop.2015.01.028_br000115) 2001; 40 Khusnutdinov (10.1016/j.aop.2015.01.028_br000275) 1999; 59 |
| References_xml | – volume: 47 start-page: 082302 year: 2006 ident: br000195 publication-title: J. Math. Phys. – volume: 107 start-page: 1413 year: 1994 ident: br000065 publication-title: Nuovo Cimento A – volume: 85 start-page: 055008 year: 2012 ident: br000105 publication-title: Phys. Scr. – year: 2005 ident: br000255 article-title: Mathematical Methods for Physicists – volume: 322 start-page: 72 year: 2004 ident: br000145 publication-title: Phys. Lett. A – volume: 28 start-page: 1389 year: 1973 ident: br000215 publication-title: Z. Naturf. a – volume: 25 start-page: 2523 year: 2010 ident: br000190 publication-title: Modern Phys. Lett. A – volume: 84 start-page: 037001 year: 2011 ident: br000070 publication-title: Phys. Scr. – volume: 260 start-page: 120 year: 1991 ident: br000230 publication-title: Phys. Lett. B – volume: 376 start-page: 2838 year: 2012 ident: br000245 publication-title: Phys. Lett. A – volume: 23 start-page: 5249 year: 2006 ident: br000200 publication-title: Classical Quantum Gravity – volume: 5 start-page: 539 year: 1991 ident: br000235 publication-title: Modern Phys. Lett. B – start-page: 6 year: 2013 ident: br000100 article-title: Advances in High Energy Physics, Vol. 2013 – volume: 371 start-page: 201 year: 2007 ident: br000160 publication-title: Phys. Lett. A – volume: 99 start-page: 123602 year: 2007 ident: br000055 publication-title: Phys. Rev. Lett. – year: 2000 ident: br000205 article-title: Relativistic Quantum Mechanics: Wave Equations – volume: 338 start-page: 81 year: 2005 ident: br000165 publication-title: Phys. Lett. A – year: 1995 ident: br000240 publication-title: Heun’s Differential Equations – volume: 40 start-page: 559 year: 2001 ident: br000115 publication-title: Internat. J. Theoret. Phys. – volume: 66 start-page: 042116 year: 2002 ident: br000140 publication-title: Phys. Rev. A – volume: 45 start-page: 1847 year: 2013 ident: br000025 publication-title: Gen. Relativity Gravitation – volume: 27 start-page: 1250047 year: 2012 ident: br000085 publication-title: Internat. J. Modern Phys. A – volume: 89 start-page: 027702 year: 2014 ident: br000280 publication-title: Phys. Rev. D – volume: 76 start-page: 041801(R) year: 2007 ident: br000040 publication-title: Phys. Rev. A – volume: 56 start-page: 167 year: 1979 ident: br000125 publication-title: Phys. Rep. – volume: 59 start-page: 064017 year: 1999 ident: br000275 publication-title: Phys. Rev. D – volume: 32 start-page: 5367 year: 1999 ident: br000020 publication-title: J. Phys. A – volume: 77 start-page: 015003 year: 2008 ident: br000075 publication-title: Phys. Scr. – volume: 22 start-page: L817 year: 1989 ident: br000005 publication-title: J. Phys. A: Math. Gen. – volume: 49 start-page: 586 year: 1994 ident: br000010 publication-title: Phys. Rev. A – volume: 278 start-page: 171 year: 1992 ident: br000225 publication-title: Phys. Lett. B – volume: 40 start-page: 667 year: 1997 ident: br000150 publication-title: Europhys. Lett. – volume: 20 start-page: 1563 year: 2009 ident: br000120 publication-title: Internat. J. Modern Phys. C – volume: 333 start-page: 272 year: 2013 ident: br000270 publication-title: Ann. Phys. (NY) – volume: 59 start-page: 107504 year: 1999 ident: br000285 publication-title: Phys. Rev. D – volume: 5 start-page: 2 year: 1971 ident: br000210 publication-title: Phys. Nor. – volume: 55 start-page: 405 year: 2011 ident: br000080 publication-title: Commun. Theor. Phys. (Beijing) – volume: 341 start-page: 86 year: 2014 ident: br000250 publication-title: Ann. Phys. (NY) – volume: 77 start-page: 033832 year: 2008 ident: br000045 publication-title: Phys. Rev. A – volume: 12 start-page: 1054 year: 2003 ident: br000185 publication-title: Chin. Phys. – volume: 195 start-page: 90 year: 1994 ident: br000260 publication-title: Phys. Lett. A – volume: 84 start-page: 032109 year: 2011 ident: br000035 publication-title: Phys. Rev. A – volume: 106 start-page: 711 year: 1993 ident: br000060 publication-title: Nuovo Cimento A – volume: 352 start-page: 484 year: 2006 ident: br000155 publication-title: Phys. Lett. A – volume: 81 start-page: 045001 year: 2010 ident: br000180 publication-title: Phys. Scr. – volume: 77 start-page: 063815 year: 2008 ident: br000050 publication-title: Phys. Rev. A – volume: 50 start-page: 3105 year: 2011 ident: br000090 publication-title: Internat. J. Theoret. Phys. – volume: 50 start-page: 228 year: 2011 ident: br000095 publication-title: Internat. J. Theoret. Phys. – volume: 136 start-page: 175 year: 1989 ident: br000175 publication-title: Phys. Lett. A – volume: 336 start-page: 489 year: 2013 ident: br000030 publication-title: Ann. Phys. (NY) – volume: 349 start-page: 87 year: 2006 ident: br000170 publication-title: Phys. Lett. A – volume: 127 start-page: 102 year: 2012 ident: br000265 publication-title: Eur. Phys. J. Plus – volume: 72 start-page: 2051 year: 2012 ident: br000220 publication-title: Eur. Phys. J. C – volume: 51 start-page: 1119 year: 1967 ident: br000015 publication-title: Nuovo Cimento A – volume: 59 start-page: 107 year: 1999 ident: br000135 publication-title: Phys. Rev. A – volume: 39 start-page: 1119 year: 2000 ident: br000110 publication-title: Internat. J. Theoret. Phys. – volume: 124 start-page: 61 year: 1980 ident: br000130 publication-title: Ann. Phys. (NY) – volume: 376 start-page: 2838 year: 2012 ident: 10.1016/j.aop.2015.01.028_br000245 publication-title: Phys. Lett. A doi: 10.1016/j.physleta.2012.09.006 – volume: 5 start-page: 2 year: 1971 ident: 10.1016/j.aop.2015.01.028_br000210 publication-title: Phys. Nor. – volume: 42 start-page: 664 year: 2004 ident: 10.1016/j.aop.2015.01.028_sbref16b publication-title: Commun. Theor. Phys. (Beijing) doi: 10.1088/0253-6102/42/5/664 – volume: 85 start-page: 055008 year: 2012 ident: 10.1016/j.aop.2015.01.028_br000105 publication-title: Phys. Scr. doi: 10.1088/0031-8949/85/05/055008 – volume: 49 start-page: 586 year: 1994 ident: 10.1016/j.aop.2015.01.028_br000010 publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.49.586 – volume: 195 start-page: 90 year: 1994 ident: 10.1016/j.aop.2015.01.028_br000260 publication-title: Phys. Lett. A doi: 10.1016/0375-9601(94)90432-4 – volume: 84 start-page: 037001 year: 2011 ident: 10.1016/j.aop.2015.01.028_br000070 publication-title: Phys. Scr. doi: 10.1088/0031-8949/84/03/037001 – volume: 260 start-page: 120 year: 1991 ident: 10.1016/j.aop.2015.01.028_br000230 publication-title: Phys. Lett. B doi: 10.1016/0370-2693(91)90978-Y – volume: 278 start-page: 171 year: 1992 ident: 10.1016/j.aop.2015.01.028_br000225 publication-title: Phys. Lett. B doi: 10.1016/0370-2693(92)90729-N – year: 2005 ident: 10.1016/j.aop.2015.01.028_br000255 – volume: 59 start-page: 064017 year: 1999 ident: 10.1016/j.aop.2015.01.028_br000275 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.59.064017 – volume: 56 start-page: 167 year: 1979 ident: 10.1016/j.aop.2015.01.028_br000125 publication-title: Phys. Rep. doi: 10.1016/0370-1573(79)90095-4 – volume: 5 start-page: 539 year: 1991 ident: 10.1016/j.aop.2015.01.028_br000235 publication-title: Modern Phys. Lett. B doi: 10.1142/S0217984991000642 – volume: 50 start-page: 228 year: 2011 ident: 10.1016/j.aop.2015.01.028_br000095 publication-title: Internat. J. Theoret. Phys. doi: 10.1007/s10773-010-0512-1 – volume: 20 start-page: 1563 year: 2009 ident: 10.1016/j.aop.2015.01.028_br000120 publication-title: Internat. J. Modern Phys. C doi: 10.1142/S0129183109014606 – volume: 32 start-page: 5367 year: 1999 ident: 10.1016/j.aop.2015.01.028_br000020 publication-title: J. Phys. A doi: 10.1088/0305-4470/32/28/314 – volume: 40 start-page: 667 year: 1997 ident: 10.1016/j.aop.2015.01.028_br000150 publication-title: Europhys. Lett. doi: 10.1209/epl/i1997-00520-y – volume: 124 start-page: 61 year: 1980 ident: 10.1016/j.aop.2015.01.028_br000130 publication-title: Ann. Phys. (NY) doi: 10.1016/0003-4916(80)90358-9 – volume: 84 start-page: 032109 year: 2011 ident: 10.1016/j.aop.2015.01.028_br000035 publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.84.032109 – volume: 40 start-page: 559 year: 2001 ident: 10.1016/j.aop.2015.01.028_br000115 publication-title: Internat. J. Theoret. Phys. doi: 10.1023/A:1004119928867 – volume: 47 start-page: 082302 year: 2006 ident: 10.1016/j.aop.2015.01.028_br000195 publication-title: J. Math. Phys. doi: 10.1063/1.2227258 – volume: 27 start-page: 1250047 year: 2012 ident: 10.1016/j.aop.2015.01.028_br000085 publication-title: Internat. J. Modern Phys. A doi: 10.1142/S0217751X12500479 – volume: 338 start-page: 81 year: 2005 ident: 10.1016/j.aop.2015.01.028_br000165 publication-title: Phys. Lett. A doi: 10.1016/j.physleta.2005.02.027 – volume: 336 start-page: 489 year: 2013 ident: 10.1016/j.aop.2015.01.028_br000030 publication-title: Ann. Phys. (NY) doi: 10.1016/j.aop.2013.06.007 – volume: 341 start-page: 86 year: 2014 ident: 10.1016/j.aop.2015.01.028_br000250 publication-title: Ann. Phys. (NY) doi: 10.1016/j.aop.2013.11.013 – volume: 76 start-page: 041801(R) year: 2007 ident: 10.1016/j.aop.2015.01.028_br000040 publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.76.041801 – volume: 89 start-page: 027702 year: 2014 ident: 10.1016/j.aop.2015.01.028_br000280 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.89.027702 – volume: 77 start-page: 063815 year: 2008 ident: 10.1016/j.aop.2015.01.028_br000050 publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.77.063815 – volume: 22 start-page: L817 year: 1989 ident: 10.1016/j.aop.2015.01.028_br000005 publication-title: J. Phys. A: Math. Gen. doi: 10.1088/0305-4470/22/17/002 – volume: 50 start-page: 3105 year: 2011 ident: 10.1016/j.aop.2015.01.028_br000090 publication-title: Internat. J. Theoret. Phys. doi: 10.1007/s10773-011-0811-1 – volume: 12 start-page: 1054 year: 2003 ident: 10.1016/j.aop.2015.01.028_br000185 publication-title: Chin. Phys. doi: 10.1088/1009-1963/12/10/302 – volume: 28 start-page: 1389 year: 1973 ident: 10.1016/j.aop.2015.01.028_br000215 publication-title: Z. Naturf. a doi: 10.1515/zna-1973-0902 – volume: 66 start-page: 042116 year: 2002 ident: 10.1016/j.aop.2015.01.028_br000140 publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.66.042116 – volume: 127 start-page: 102 year: 2012 ident: 10.1016/j.aop.2015.01.028_br000265 publication-title: Eur. Phys. J. Plus doi: 10.1140/epjp/i2012-12102-3 – year: 2000 ident: 10.1016/j.aop.2015.01.028_br000205 – volume: 333 start-page: 272 year: 2013 ident: 10.1016/j.aop.2015.01.028_br000270 publication-title: Ann. Phys. (NY) doi: 10.1016/j.aop.2013.03.009 – start-page: 6 year: 2013 ident: 10.1016/j.aop.2015.01.028_br000100 – volume: 45 start-page: 1847 year: 2013 ident: 10.1016/j.aop.2015.01.028_br000025 publication-title: Gen. Relativity Gravitation doi: 10.1007/s10714-013-1561-6 – volume: 77 start-page: 033832 year: 2008 ident: 10.1016/j.aop.2015.01.028_br000045 publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.77.033832 – volume: 59 start-page: 107504 year: 1999 ident: 10.1016/j.aop.2015.01.028_br000285 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.59.107504 – volume: 349 start-page: 87 year: 2006 ident: 10.1016/j.aop.2015.01.028_br000170 publication-title: Phys. Lett. A doi: 10.1016/j.physleta.2005.09.008 – volume: 77 start-page: 015003 year: 2008 ident: 10.1016/j.aop.2015.01.028_br000075 publication-title: Phys. Scr. doi: 10.1088/0031-8949/77/01/015003 – volume: 25 start-page: 2523 year: 2010 ident: 10.1016/j.aop.2015.01.028_br000190 publication-title: Modern Phys. Lett. A doi: 10.1142/S0217732310033529 – volume: 81 start-page: 045001 year: 2010 ident: 10.1016/j.aop.2015.01.028_br000180 publication-title: Phys. Scr. doi: 10.1088/0031-8949/81/04/045001 – volume: 59 start-page: 107 year: 1999 ident: 10.1016/j.aop.2015.01.028_br000135 publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.59.107 – volume: 106 start-page: 711 year: 1993 ident: 10.1016/j.aop.2015.01.028_br000060 publication-title: Nuovo Cimento A doi: 10.1007/BF02787240 – year: 1995 ident: 10.1016/j.aop.2015.01.028_br000240 – volume: 107 start-page: 1413 year: 1994 ident: 10.1016/j.aop.2015.01.028_br000065 publication-title: Nuovo Cimento A – volume: 55 start-page: 405 year: 2011 ident: 10.1016/j.aop.2015.01.028_sbref16a publication-title: Commun. Theor. Phys. (Beijing) doi: 10.1088/0253-6102/55/3/06 – volume: 99 start-page: 123602 year: 2007 ident: 10.1016/j.aop.2015.01.028_br000055 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.99.123602 – volume: 352 start-page: 484 year: 2006 ident: 10.1016/j.aop.2015.01.028_br000155 publication-title: Phys. Lett. A doi: 10.1016/j.physleta.2005.12.048 – volume: 136 start-page: 175 year: 1989 ident: 10.1016/j.aop.2015.01.028_br000175 publication-title: Phys. Lett. A doi: 10.1016/0375-9601(89)90555-0 – volume: 23 start-page: 5249 year: 2006 ident: 10.1016/j.aop.2015.01.028_br000200 publication-title: Classical Quantum Gravity doi: 10.1088/0264-9381/23/17/009 – volume: 371 start-page: 201 year: 2007 ident: 10.1016/j.aop.2015.01.028_br000160 publication-title: Phys. Lett. A doi: 10.1016/j.physleta.2007.04.109 – volume: 39 start-page: 1119 year: 2000 ident: 10.1016/j.aop.2015.01.028_br000110 publication-title: Internat. J. Theoret. Phys. doi: 10.1023/A:1003614810934 – volume: 51 start-page: 1119 year: 1967 ident: 10.1016/j.aop.2015.01.028_br000015 publication-title: Nuovo Cimento A doi: 10.1007/BF02721775 – volume: 72 start-page: 2051 year: 2012 ident: 10.1016/j.aop.2015.01.028_br000220 publication-title: Eur. Phys. J. C doi: 10.1140/epjc/s10052-012-2051-9 – volume: 322 start-page: 72 year: 2004 ident: 10.1016/j.aop.2015.01.028_br000145 publication-title: Phys. Lett. A doi: 10.1016/j.physleta.2004.01.006 |
| SSID | ssj0011458 |
| Score | 2.5041592 |
| Snippet | By introducing the scalar potential as modification in the mass term of the Klein–Gordon equation, the influence of a Coulomb-type potential on the... By introducing the scalar potential as modification in the mass term of the Klein-Gordon equation, the influence of a Coulomb-type potential on the... |
| SourceID | osti proquest crossref elsevier |
| SourceType | Open Access Repository Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 48 |
| SubjectTerms | Biconfluent Heun equation BOUND STATE CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Coulomb-type potential KLEIN-GORDON EQUATION Klein–Gordon oscillator MATHEMATICAL SOLUTIONS OSCILLATORS QUANTUM NUMBERS Quantum physics Relativistic bound states RELATIVISTIC RANGE Theoretical mathematics |
| Title | On the Klein–Gordon oscillator subject to a Coulomb-type potential |
| URI | https://dx.doi.org/10.1016/j.aop.2015.01.028 https://www.proquest.com/docview/1667924273 https://www.osti.gov/biblio/22451145 |
| Volume | 355 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LTxRBEK7AEhIvRgEjiqQPnkwGpqcfO3Mkq7hKwIsk3Dr9TNasMxt39kr4D_5Df4lVuz0khsDB27wq06nqrv6qu-prgPfKVjLJRhfR0mpV1cTCasUL7cZBVT6V0VE18uWVnl7LrzfqZgsmQy0MpVVm37_x6WtvnZ-cZm2eLmYzqvElbhVCLHTFx9uwU-FsX49g5-zLxfTqfjOBS1UPB-eRwLC5uU7zsh2xVvJM3lk_Nj2NOhxxD_z1ehI6fwHPM3pkZ5sGvoSt2O7B7jqL0y_34eO3liGgYxfzOGv_3P3-jJFl1zLiq0RrY3TNlitHCy-s75hlk2417366gpZh2aLrKXHIzg_g-vzT98m0yMckFF4o0Rc2uRSdLbUNVRIYZQrfJO24DI7oxSRCosADgmgurG9EiOOkrfBCYuSiGmXFKxi1XRtfAwtVnVRABxlkLX2VXMAxGqLXZZ2oBPcQykE7xmcOcTrKYm6GZLEfBhVqSKGm5AYVeggf7kUWGwKNpz6Wg8rNP73AoIN_SuyIzEMixHzrKUUIZRCdKDI-vh7MZvIIXRqu9RhjT0Rvb_7vp2_hGd1tsniOYNT_WsV3CFB6dwzbJ7f8OHfDv4nC43Q |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Lb9NAEB6VVAguiKcoFNgDJySrXu8j9rEKlJS04dJKva32KaUKdkSce_9D_yG_hJlkXQkheuBm2R7Zmtmd_WZ35huAj8pWMslGF9HSblXVxMJqxQvtxkFVPpXRUTXy-VxPL-W3K3W1B5OhFobSKrPv3_n0rbfOd46yNo9WiwXV-BK3CiEWuuLjB7Avqan1CPaPT2fT-d1hApeqHhrnkcBwuLlN87IdsVbyTN5Z_2t5GnU44_7y19tF6OQpPMnokR3vfvAZ7MX2OTzcZnH69Qv4_L1lCOjYbBkX7a-b268YWXYtI75KtDZG12y9cbTxwvqOWTbpNsvuhytoG5atup4Sh-zyJVyefLmYTIvcJqHwQom-sMml6GypbaiSwChT-CZpx2VwRC8mERIFHhBEc2F9I0IcJ22FFxIjF9UoK17BqO3a-BpYqOqkAjrIIGvpq-QCztEQvS7rRCW4B1AO2jE-c4hTK4ulGZLFrg0q1JBCTckNKvQAPt2JrHYEGve9LAeVmz9GgUEHf5_YIZmHRIj51lOKEMogOlFkfHw8mM3kGbo2XOsxxp6I3t7830c_wKPpxfmZOTudz97CY3qyy-g5hFH_cxPfIVjp3fs8GH8D6DvlWg |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=On+the+Klein%E2%80%93Gordon+oscillator+subject+to+a+Coulomb-type+potential&rft.jtitle=Annals+of+physics&rft.au=Bakke%2C+K.&rft.au=Furtado%2C+C.&rft.date=2015-04-01&rft.issn=0003-4916&rft.eissn=1096-035X&rft.volume=355&rft_id=info:doi/10.1016%2FJ.AOP.2015.01.028&rft.externalDocID=22451145 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0003-4916&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0003-4916&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0003-4916&client=summon |